Stats Homework Chapter 12 Please show all work. With each problem please do the correct Measure of Association (M of A) and the PRE that goes with the problem. Then tell me what you found. 1. The tables below report relationships between several variables and victimization of individuals. Compute the MofA for each and PRE.Please report what you found as to which groups experienced more victimization? Sex Victimized? Male Females Totals X2 = 4.31 Yes 10 21 31 No 31720 Totals 13 38 51 Age Victimized? 21 & below 22 & above Totals X2 = 5.73 Yes 32 21 53 No 121628 Totals 44 37 81 Race Victimized? Black White Totals X2 = 5.19 Yes 21 18 39 No 31922 Totals 24 37 61 2. A sociologist is researching public attitudes toward crime and is asking residents of his city if they think that the crime rate in their neighborhoods is rising. Is there a relationship between sex and the issue of crime rates, and is there one between race and the issue of crime rates? Compute the correct MofA and PRE. Sex Crime Rate Male Female Totals X2 = 7.46 Rising 200 225 425 Stable 175 150 325 Falling 125125250 Totals 500 500 1000 Race Crime Rate White Black Totals X2 = 11.25 Rising 250 275 525 Stable 180 85 265 Falling 17040210 Totals 600 400 1000 Relevant Study Results “The sample consisted of 23 men with a mean age of 42.2 years (SD = 8.2), length of time since diagnosis with HIV was 9.2 years (SD = 5.3); and 17 women with a mean age of 36.8 years (SD = 5.2), and length of time since diagnosis with HIV was 7.2 years (SD = 4.8). For men, 23 were HIV-positive and 9 had a diagnosis of AIDS; and for women, 17 were HIV positive, and 5 had a diagnosis of AIDS. There was no significant difference in demographic characteristics of the sample by age, gender, HIV disease status, and time living with HIV. Participants reported a net increase in weight from 3 months prior (M = 2.4 lb, SD = 12.9 lb) and 12 months prior (M = 10.9 lb, SD = 19.1 lb) and that their weight was greater than their ideal weight (M = 9.2 lb, SD = 22.9 lb). SDs for the data indicated a wide range on weight at both 3 and 12 months before participation in the study. Body image scores (0–100 scale) were significantly (F(1, 37) = 5.41, p =.03) higher for women (73.1 ± 17.0) than men (60.2 ± 17.0). Although HIV-positive participants had slightly higher body image scores (M = 68.0, SD = 17.0) compared with participants with AIDS (M = 60.5, SD = 18.8), there was no significant difference (F(1, 37) = 1.56, p =.22) in body image scores between [those with HIV and AIDS]. There was a weak, but significant, inverse association between body image score and weight changes from 3 months prior (r = −.30, p =.04). Body image and weight scores are summarized in Table 1” (Corless et al., 2004, p. 294). Table 1 Body Image and weight measures for men and women..

1. Stats Homework
Chapter 12
Please show all work. With each problem please do the correct
Measure of Association (M of A) and the PRE that goes with the
problem. Then tell me what you found.
1. The tables below report relationships between several
variables and victimization of individuals. Compute the MofA
for each and PRE.Please report what you found as to which
groups experienced more victimization?
Sex
Victimized?
Male
Females
Totals
X2 = 4.31
Yes
10
21
31

2. No
31720
Totals
13
38
51
Age
Victimized?
21 & below
22 & above
Totals
X2 = 5.73
Yes
32
21
53
No

3. 121628
Totals
44
37
81
Race
Victimized?
Black
White
Totals
X2 = 5.19
Yes
21
18
39

4. No
31922
Totals
24
37
61
2. A sociologist is researching public attitudes toward crime and
is asking residents of his city if they think that the crime rate in
their neighborhoods is rising. Is there a relationship between
sex and the issue of crime rates, and is there one between race
and the issue of crime rates? Compute the correct MofA and
PRE.
Sex
Crime
Rate
Male
Female
Totals
X2 = 7.46

5. Rising
200
225
425
Stable
175
150
325
Falling
125125250
Totals
500
500
1000

6. Race
Crime
Rate
White
Black
Totals
X2 = 11.25
Rising
250
275
525
Stable
180
85
265

7. Falling
17040210
Totals
600
400
1000
Relevant Study Results
“The sample consisted of 23 men with a mean age of 42.2 years
(SD = 8.2), length of time since
diagnosis with HIV was 9.2 years (SD = 5.3); and 17 women
with a mean age of 36.8 years (SD = 5.2), and length of time
since diagnosis with HIV was 7.2 years (SD = 4.8). For men, 23
were HIV-positive and 9 had a diagnosis of AIDS; and for
women, 17 were HIV positive, and 5 had a diagnosis of AIDS.
There was no significant difference in demographic
characteristics of the sample by age, gender, HIV disease status,
and time living with HIV.
Participants reported a net increase in weight from 3 months
prior (M = 2.4 lb, SD = 12.9 lb) and
12 months prior (M = 10.9 lb, SD = 19.1 lb) and that their
weight was greater than their ideal weight (M = 9.2 lb, SD =
22.9 lb). SDs for the data indicated a wide range on weight at

8. both 3 and 12 months before participation in the study.
Body image scores (0–100 scale) were significantly (F(1, 37) =
5.41, p =.03) higher for women
(73.1 ± 17.0) than men (60.2 ± 17.0). Although HIV-positive
participants had slightly higher body image scores (M = 68.0,
SD = 17.0) compared with participants with AIDS (M = 60.5,
SD = 18.8), there was no significant difference (F(1, 37) = 1.56,
p =.22) in body image scores between [those with HIV and
AIDS]. There was a weak, but significant, inverse association
between body image score and weight changes from 3 months
prior (r = −.30, p =.04). Body image and weight scores are
summarized in Table 1” (Corless et al., 2004, p. 294).
Table 1 Body Image and weight measures for men and
women.TTABLE 1 ■ Body Image sures for Men and Women
GENDER
male
male
female
female
mean
SD
mean
SD
Body image
60.22
16.98
73.07
16.93

9. Weight change last 12 months
10.26
22.40
11.94
13.63
Weight change last 3 months
3.05
15.87
1.47
7.32
Weight relative to ideal
5.48
22.93
14.44
22.57
Body weight ratio
53.66
33.97
67.56
34.44
“A summary of quality-of-life scores for men and women is
shown in Table 2. The scales
of the MOS-HIV Quality of Life instrument include General
Health Perceptions, Physical
Functioning, Role Functioning, Social Functioning, Cognitive
Functioning, Pain, Mental Health,
Vitality, Health Distress, Quality of Life, and Heath Transition.
There were no significant differences between quality of life
scores between men and women. Men did have lower scores on
some MOS-HIV scales (Cognitive Functioning, Pain, Quality of
Life, and Health Transition) and women were lower on others
(Vitality and Health Distress). In addition, there were a number

10. of differences in the relationships between quality of life
scores, body image, and body weight. . . . The positive
correlations indicated that improved quality of life was
associated with improved body image” (Corless et al., 2004, pp.
294–5).
Table 2 Mean MOS-HIV scores for men and women.
Gender
Male
Male
women
women
Mean
SD
Mean
SD
General health perceptions
37.38
30.52
39.71
25.46
Physical functioning
64.13
25.55
65.20
29.79
Role functioning
50.00
46.29
50.00
46.77

11. Social functioning
65.45
29.72
64.71
26.95
Cognitive functioning
58.86
30.94
66.18
26.55
Pain
52.53
30.90
64.71
28.12
Mental Health
57.09
23.72
61.50
22.81
Vitality
48.86
23.35
43.24
21.93
Health distress
58.48
30.80
51.18
24.53
Quality of life
53.26
26.44
61.76
21.86
Health transition

12. 56.52
24.09
66.18
24.91
Total MOS-HIV
score
56.89
20.44
58.06
17.56
1. Assuming that the distribution is normal for weight relative
to the ideal and 99% of the male participants scored between (–
53.68, 64.64), where did 95% of the values for weight relative
to the ideal lie? Round your answer to two decimal places.
2. Which of the following values from Table 1 tells us about
variability of the scores in a distribution?
a. 60.22
b. 11.94
c. 22.57
d. 53.66
3. Assuming that the distribution for General Health Perceptions
is normal, 95% of the females’ scores around the mean were
between what values? Round your answer to two decimal
places.
4. Assuming that the distribution of scores for Pain is normal,
95% of the men’s scores around the mean were between what
two values? Round your answer to two decimal places.

13. 5. Were the body image scores significantly different for women
versus men? Provide a rationale for your answer.
6. Assuming that the distribution of Mental Health scores for
men is normal, where are 99% of the men’s mental health scores
around the mean in this distribution? Round your answer to two
decimal places.
7. Assuming that the distribution of scores for Physical
Functioning in women is normal, where are 99% of the women’s
scores around the mean in this distribution? Round your answer
to two decimal places.
8. Assuming that the distribution of scores is normal, 99% of
HIV-positive body image scores around the mean were between
what two values? Round your answer to two decimal places.
9. Assuming that the distribution of scores for Role
Functioning is normal, 99% of the men’s scores around the
mean were between what values? Round your answer to two
decimal places.
10. What are some of the limitations of this study that decrease
the potential for generalizing the findings to the target
population?
Problem
11073223226161011201961735671034322513963223226161120
19617356103432251396
Name: Date:
Hypothesis Testing
Answer each question completely to recieve full credit
1. There is a new drug that is used to treat leukemia. The

14. following data represents the remission time in weeks for a
random sample of 21 patients using the drug.
State the Null Hypothesis and the Alternate Hypothesis
State the Level of significance
State the Test Statistic
Perform Calculations
Statistical and experimentalConclusion
Let X be a random variable representing the remission time in
weeks for all patients using the new drug. Assume that the
distribution of x is normal. A previously used drug treatment
has a mean remission time of 12.5 weeks. Does the data indicate
that the mean remission time using the new drug is different
from 12.5 week at a level of significance of 0.01?
Problem
2MenWomen202937284620232820422345211915452016283227
38204530412234272838212942202116302728423037433940391
6324416152116262017413916
Hypothesis Testing
Answer each question completely to recieve full credit.
2. We wish to test the claim that the mean body mass index
(BMI) of men is equal to the mean BMI of women. Use the data
to the right to test this claim.
State the Null Hypothesis
Perform Calculations
Statistical Conclusion
Experimental Conclusion

15. Unit 6
Evaluating Decisions
A school district has developed a teaching proficiency scale
based on: (a) improvements in student achievement, (b) rating
by peers and (c) ratings by administrators. The district data
indicates that teachers who, at the end of their 3rd year, attain
ratings of 3 or higher on the teaching proficiency scale are
likely to have fewer discipline problems with students, to
interact well with students’ parent and are less likely to suffer
from teacher-burn-out. The state department of education
requires all applicants for a teaching certification to take a
nationally normed teacher certification examination. Figure 1 is
a scatter plot (shown below) that shows the relationship
between the teacher certification test and the 3rd year teaching
proficiency scale for the last 30 teachers hired by the district.
Table 1 shows the data from this group of teachers. The
correlation between the teacher certification examination and
the teacher proficiency scale is 0.523.
Figure 1
Table 1
Applicant Gender
Certification Test
Teacher Proficiency Scale
Male
30
1

16. Male
40
1
Female
45
2
Male
45
3
Female
50
3
Male
53
3
Male
55
2
Male
56
1
Female
59
1
Male
61
2
Male
63
3
Male
65
2
Male
68
1

17. Male
68
4
Male
70
2
Male
73
1
Female
74
4
Male
74
3
Female
75
2
Female
76
2
Female
77
3
Female
78
3
Female
78
4
Female
80
4
Female
81
1

18. Female
82
3
Female
85
4
Male
87
5
Female
90
5
Female
95
3
1.
If a successful third year teacher is one who has a teaching
proficiency of 3 or higher, what is the base rate of the teachers
who are shown in Table 1 and Figure 1? (1 points)
2.
The district expects to hire 20 new teachers in the coming year.
The district has 40 applicants for the new positions. If the
district administration uses the teaching certification
examination to make their selection decision where should the
cut-off be set? Assume that the performance of the new
applicants will similar to the applicants shown in the 30
teachers represented in Table 1 and Figure 1. Explain your
answer. (5 points) (Hint you need to calculate the new selection
ratio to find the cut-off)
3.
Given your recommended cut-off, what would be the expected
hit rate (i.e. valid accepts) for successful new hires? (Assume
success is achieving a 3 or high on the teaching proficiency
scale in three years. (2 points)

19. 4.
What are the probabilities associated with all of the possible
outcomes of using the state’s teacher certification test to make
selection decisions. (Hint: draw a decision tree) (5 points)
5.
Assign a relative outcome value to each outcome, +1 for
outcomes that you believe are most valuable, -1 for outcomes
that you believe are most costly, and 0 for outcomes that are
neither valuable nor costly. Calculate the value of the decision
strategy, and compare the value to hiring 20 teachers selected
randomly from the applicant pool. (5 points)
6.
What would the expected hit rate be if the district needed to
hire 16 new teachers instead of 20? (2 points)
7.
The school district is concerned that there may be gender bias in
the decision making process. The correlation coefficient for
male applicants is 0.493, and the correlation for the female
applicants is 0.429. Calculate the regression formula for male
and female applicants. Is there a test bias? If yes, discuss the
nature of the bias and discuss how it is likely to affect the
quality of decision-making processes? (10 points)